Coordinates of Points Calculator (Externally/ Internally)

The Coordinates of points is determined a pair of numbers defining the position of a point that defines its exact location on a two-dimensional plane.

Coordinates of Points Calculator (Externally and Internally)

X1:

Y1:

X2:

Y2:

Ratio

m:

n:

Coordinates of Point

Formula

Section or Ratio Externally
(mx2-nx1/m-n , my2-ny1/m-n)

Section or Ratio Internally
(mx2+nx1/m+n , my2+ny1/m+n)

Ratio formula or section formula is used to find the coordinates of a point P which divides the segment joining the points A and B internally or externally in the ratio m : n.
Case 1: Find the coordinates of the point which divides the line joining the points (2, 3), (4, 5) internally in the ratio 2:1.
x1 = 2, y1 = 3 and
x2 = 4, y2 = 5
m = 2, n = 1